I had a lot of trouble in my area getting offers accepted when I started. It takes some time to figure out how to get a offer accepted, it took some serious thinking about peoples motivations to figure out the system.
First off, have you considered that your agent might be the equivalent of the stinky kid. Unbeknownst to you, maybe your agent is the one no one wants to work with. At the end of the day RE is a relationships business. If your agent has burnt bridges in the past it could be affecting you offers.
EM is part of the offer contract, it is not sent in with the offer, but sent in after the offer.
Proof of funds is usually sent with the offer.
A buyers agent is usually useless. The MLS is searchable by anyone in my area. Not all of the background information is available, but I can still view everything on the MLS. If that is not the case use zillow, redfin, loopnet or similar. Maybe you should find out if the same is true for you. Then you can assemble your own buying list & not feel committed to one agent. It also helps you avoid things like your agent being swayed towards certain properties because they were offered a bonus commision.
By using the sellers agent you are essentially offering them a 3% bonus commission on closing of the deal. It is pretty strong motivation to at least get your offer in front of the person making decisions.